Stokes and Navier-Stokes equations with Robin boundary conditions in a half-space
説明
We study the initial-boundary value problem for the Stokes equations with Robin boundary conditions in the half-space Rn+. It is proved that the associated Stokes operator is sectorial and admits a bounded H∞-calculus on Lq0(Rn+). As an application we prove also a local existence result for the nonlinear initial value problem of the Navier-Stokes equations with Robin boundary conditions.
収録刊行物
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- Hokkaido University Preprint Series in Mathematics
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Hokkaido University Preprint Series in Mathematics 633 1-29, 2004
Department of Mathematics, Hokkaido University
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詳細情報 詳細情報について
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- CRID
- 1390290699771992960
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- NII論文ID
- 120006459346
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- DOI
- 10.14943/83786
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- HANDLE
- 2115/69440
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- JaLC
- IRDB
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用可